Simplify the ratio 154:132 in its simplest form

Step-by-step explanation:

Required information to prove the triangles are congruent:

AB=FE

Then you can say they are congruent by SAS

Answer:Life table of males at age 30. Probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001399

non Hispanic white population

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001116

non Hispanic white males

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001503

Jacob, non Hispanic white male. 30 years old.

Probability that Jacob lives to be 30 years old.  

Since the given probabilities are probabilities of dying, I think we simply subtract it from 1 to get the probability of living. We will use the probability of non Hispanic white male.

                                         Probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Step-by-step explanation:

Life table of males at age 30. Probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001399

non Hispanic white population

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001116

non Hispanic white males

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001503

Jacob, non Hispanic white male. 30 years old.

Probability that Jacob lives to be 30 years old.  

Since the given probabilities are probabilities of dying, I think we simply subtract it from 1 to get the probability of living. We will use the probability of non Hispanic white male.

                                         Probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

The least and greatest weights of the potatoes in the data set are 1/8 and 3/4 respectively.

The weight of the potatoes are:

Therefore, the least weight of the potatoes is 1/8 equivalent to 0.125

The greatest weight of the potatoes is 3/4 equivalent to 0.75

Learn more about fractions:

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Answer:

No links sorry :<

Step-by-step explanation:

Answer:

I need help with the answer as well

Step-by-step explanation:

Answer:

B is the answer.

Step-by-step explanation:

Use power rule: (x^a)^b = x^ab.

[tex] {6}^{21} [/tex]

Answer:

b. 6²¹

Step-by-step explanation:

(6⁷)³=(6³)⁷===> 6²¹

Answer:

6(6a-2b)

Step-by-step explanation:

Answer:

6(6a-2b)

Step-by-step explanation:

if you multiply the 6 by what's in parenthesis you get 36a-12b

Answer:

the volume is Pie X Y^-3= 6 + 7/2 which means the surface area is half of Pie/12

Step-by-step explanation:

i don't know there's no picture

Answer:Who is BRIANNA

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

You divide and stuff. Then you subtract 3.5 from 5 to get 1.5 and bam answer.

Answer:

y = [tex]\frac{1}{3}[/tex] x² - 2x - 2

Step-by-step explanation:

x-coordinate of the vertex of a parabola is ( [tex]- \frac{b}{2a}[/tex] )

y = f(x) = ax² + bx + c

(x, y) ∈ f(x)

~~~~~~~~~

{ (0, - 2), (3, - 5) } ⊂ { (x, y): y = ax² + bx + c }

a(0)² + b(0) + c = - 2 ⇒ c = - 2

a(3)² + b(3) + ( - 2) = - 5  

9a + 3b - 2 = - 5 ⇒ 3a + b = - 1

[tex]- \frac{b}{2a}[/tex] = 3 ⇒ b = - 6a

[tex]\left \{ {{3a+b=-1} \atop {b=-6a}} \right.[/tex]

3a + ( - 6a) = - 1

a = [tex]\frac{1}{3}[/tex]

b = - 2

y = [tex]\frac{1}{3}[/tex] x² - 2x - 2

The equation of the parabola for the given values is y = x²/3 - 2x - 2.

A parabola is the part of the conic section of which the points are equidistant from a fixed line called as directrix and a fixed point known as focus.

The general equation for the parabola is given as,

y = ax² + bx + c

Where c is the y-intercept.

Substitute c = -2 as per the question to obtain,

y = ax² + bx - 2

At (3,-5) the parabola has minimum value which implies y' = 0 as below,

y' = 2ax + b = 0

Substitute x = 3 to obtain,

2a × 3 + b = 0

=> -6a = b

And, y = -5 at x = 3 which gives,

-5 = 3²a + 3b - 2

=> 9a + 3b = -3

Substitute b = -6a to get,

9a - 18a = -3

=> a = 1/3

Which implies b = -6 × 1/3 = -2

Now, the equation for the parabola becomes as below,

y = x²/3 - 2x - 2

Hence, the required equation of the parabola is obtained as y = x²/3 - 2x - 2.

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Answer: sarah ran 150 miles in 12 weeks

Step-by-step explanation:

Answer:

3.67

Step-by-step explanation:

Answer:

5 Units

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

-5 = 5 from the x-axis

5 = 5 from the x-axis

5 + 5 = 10

Answer:

x = 4

m<cdb = 82

Step-by-step explanation:

The exterior angle thm states that the exterior angle of a triangle is equal to the sum of the opposite interior angles:

7x + 2 + 17x = 98

24x + 2 = 98

24x = 96

x = 4

m<cdb =

y + 98 = 180

y = 180 - 98

y = 82

Answer: 2646kg

Hope this helps

Answer:

4 miles?

Step-by-step explanation:

Answer:

3 miles

Step-by-step explanation:

2+1=3

Answer:

it should be 47 because of (3x-4)

Step-by-step explanation:

Answer:

(x + 1)(x + 3)eˣ

Step-by-step explanation:

Since f(x) = (x + 1)²eˣ

df(x)/dx = d[(x + 1)²eˣ]/dx

By the product rule, duv/dx = udv/dx + vdu/dx

where  u =  (x + 1)² and v = eˣ

So,  df(x)/dx = d[(x + 1)²eˣ]/dx

= (x + 1)²deˣ/dx + eˣd(x + 1)²/dx

= (x + 1)²eˣ + eˣd(x + 1)²/d(x + 1) × d(x + 1)/dx  (by the chain-rule dy/dx = dy/du × du/dx)

= (x + 1)²eˣ + eˣ[2(x + 1) × 1]

= (x + 1)²eˣ + 2eˣ(x + 1)

= (x + 1)eˣ(x + 1 + 2)

= (x + 1)eˣ(x + 3)

= (x + 1)(x + 3)eˣ

Note : a × b = 0 ==》 a = 0 Or b = 0

_________________________________

( 2x - 7 )( 5x + 75 ) = 0

2x - 7 = 0 ===》 2x = 7 ===》 x = 7 / 2

===》 x = 3.5

Or

5x + 75 = 0 ==》 5x = - 75 ==》 x = - 75 / 5

==》x = - 15

Step-by-step explanation:

(2x-7)(5x+75)=0

2x(5x+75) -7 (5x+75)=0

10x^2 + 150x - 35x - 525 =0

10x^2 + 115x - 525 =0

5(2x^2 + 23x - 105 ) =0

2x^2 +30x-7x - 105 =0

2x ( x + 15 ) -7 ( x + 15) = 0

(2x-7) (x + 15) =0

so, 2x-7=0 and x+15 =0

x = 7/2 and x = -15

#cancelicseboardexam2021

Step-by-step explanation:

Given,

1. The given expression is [tex]\sqrt[10]{x^9}[/tex].

We need to write it into exponential form.

We know that,

[tex]\sqrt[a]{x} =x^{1/a}[/tex]

Here, a = 10

So,

[tex]\sqrt[10]{x^9}=(x^9)^{1/10}\\\\=x^{9\times \dfrac{1}{10}}\\\\=x^{9/10}\\\\=x^{0.1}[/tex]

2.

[tex](\sqrt[4]{3y} )^3\\\\=((3y)^3)^{1/4}\\\\=3^{3\times \dfrac{1}{4}}\times y^{3\times \dfrac{1}{4}}\\\\=3^{3/4}y^{3/4}[/tex]

Hence, this is the required solution.

Answer:

15%

Step-by-step explanation:

Answer:

$0.18

Step-by-step explanation:

Given that :

Number of bananas purchased = 8

Cost at which the 8 bananas were purchased = $1.44

The unit price of bananas can be obtained using the relation :

Total Cost of bananas / number of bananas

Unit price = $1.44 / 8

Unit price = $0.18

Price per unit of banana = $0.18

Answer:

5

Step-by-step explanation:

-2^2=-4

3^2=9

add

-4+9=5

Answer:

The absolute maximum is 4, and the absolute minimum is 2.

Step-by-step explanation:

We are given the function:

[tex]f(x)=x^4-3x^2+4[/tex]

And we want to find the absolute extrema of the function on the interval [-1, 1].

So, we will find the smallest and largest y-value within the interval. First, we can evaluate the function at its endpoints. So:

[tex]f(-1)=(-1)^4-3(-1)^2+4=2[/tex]

And:

[tex]f(1)=(1)^4-3(1)^2+4=2[/tex]

Our endpoints are (-1, 2) and (1, 2).

Recall that extrema only occurs at critical points. Critical points are where the derivative of the function equals 0. So, we can find the derivative of the function:

[tex]\displaystyle f'(x)=\frac{d}{dx}\left[x^4-3x^2+4\right][/tex]

Differentiate:

[tex]f'(x)=4x^3-6x[/tex]

Set the function equal to 0:

[tex]0=4x^3-6x[/tex]

Solve for x. Factor:

[tex]2x(2x^2-3)=0[/tex]

Zero Product Property:

[tex]2x=0\text{ or } 2x^2-3=0[/tex]

Solve for each case. Therefore:

[tex]\displaystyle x=0\text{ or } x=\pm\frac{\sqrt6}{2}[/tex]

The second case is outside of our interval. So we can ignore it.

Evaluate the function at x = 0:

[tex]f(0)=(0)^4-3(0)^2+4=4[/tex]

Therefore, for our function on the interval [-1, 1], the absolute maximum is 4, and the absolute minimum is 2.

Answer:

c

Step-by-step explanation:

Answer:

sin ∅ = 24/25

Step-by-step explanation:

These are the trigonometric ratios

Remember SOHCAHTOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

We are asked to find sin ∅

The trig function sin = opposite over hypotenuse

so we need to find the opposite side length of the indicated angle (∅)

The opposite side length is equal to 24

Then we find the hypotenuse ( the longest side length ) which would be 25

so sin ∅ = 24/25

Answer:

u = -261

Step-by-step explanation:

Subtract 11 from both sides:

u/9 + 11= -8

u/9 + 11 - 11 = -18 -11

u/9 = -18 - 11

u/9 = -29

u/9 9 = -29 9

u= - 29 9

u = -261

hope i helped

Answer:

23:22

Step-by-step explanation: